Question

solve the inequality and graph the solution.
5(z - 1) < 10
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Expand the left - hand side

$5(z - 1)=5z-5$, so the inequality becomes $5z - 5<10$.

Step2: Add 5 to both sides

$5z-5 + 5<10 + 5$, which simplifies to $5z<15$.

Step3: Divide both sides by 5

$\frac{5z}{5}<\frac{15}{5}$, so $z < 3$.

Answer:

The solution of the inequality is $z < 3$. On the number - line, we would have an open circle at $z = 3$ and an arrow pointing to the left.